Adomian Modification Methods for the Solution of Chebyshev’s Differential Equations

The current study examines the important class of Chebyshev’s differential equations via the application of the efficient Adomian Decomposition Method (ADM) and its modifications. We have proved the effectiveness of the employed methods by acquiring exact analytical solutions for the governing equations in most cases;while minimal noisy error terms have been observed in a particular method modification. Above all, the presented approaches have rightly affirmed the exactitude of the available literature. More to the point, the application of this methodology could be extended to examine various forms of high-order differential equations, as approximate exact solutions are rapidly attained with less computation stress.

Solution of Laguerre’s Differential Equations via Modified Adomian Decomposition Method

This paper presents a technique for obtaining an exact solution for the well-known Laguerre’s differential equations that arise in the modeling of several phenomena in quantum mechanics and engineering. We utilize an efficient procedure based on the modified Adomian decomposition method to obtain closed-form solutions of the Laguerre’s and the associated Laguerre’s differential equations. The proposed technique makes sense as the attitudes of the acquired solutions towards the neighboring singular points are correctly taken care of.

A Novel Method of the Modification of Ultrastable Y Zeolites With Citric Acid in Unbuffered System

The feasibility of Preparing high Si/Al ratio samples by treating USY zeolites withcitric acid solution in unbuffered system was extensively investigated. The effecd of treatingconditions was explored. The results show tha Si/Al ratios, crystallintites,contents of crystallinesilicon and thermal stabilities of the samples are grealy increased after moderate modification.Itmeans that it might be an effective method for the moderate modification of USY

Chemisorption solid materials for hydrogen storage near ambient temperature:A review

Solid chemisorption technologies for hydrogen storage,especially high-efficiency hydrogen storage of fuel cells in near ambient temperature zone defined from−20 to 100℃,have a great application potential for realizing the global goal of carbon dioxide emission reduction and vision of carbon neutrality.However,there are several challenges to be solved at near ambient temperature,i.e.,unclear hydrogen storage mechanism,low sorption capacity,poor sorption kinetics,and complicated synthetic procedures.In this review,the characteristics and modification methods of chemisorption hydrogen storage materials at near ambient temperature are discussed.The interaction between hydrogen and materials is analyzed,including the microscopic,thermodynamic,and mechanical properties.Based on the classification of hydrogen storage metals,the operation temperature zone and temperature shifting methods are discussed.A series of modification and reprocessing methods are summarized,including preparation,synthesis,simulation,and experimental analysis.Finally,perspectives on advanced solid chemisorption materials promising for efficient and scalable hydrogen storage systems are provided.

Factors affecting thermal stability of collagen from the aspects of extraction,processing and modification

Collagen,as a thermal-sensitive protein,is the most abundant structural protein in animals.Native collagen has been widely applied in various fields due to its specific physicochemical and biological properties.The beneficial properties would disappear with the collapse of the unique triple helical structure during heating.Understanding thermal stability of collagen is of great significance for practical applications.Previous studies have shown the thermal stability would be affected by the different sources,extraction methods,solvent systems in vitro and modified methods.Accordingly,the factors affecting thermal stability of collagen are discussed in detail in this review.

Recent advances on bismuth oxyhalides for photocatalytic CO_(2)reduction

Photocatalytic conversion of CO_(2)into fuels such as CO,CH_(4),and CH_(3)OH,is a promising approach for achieving carbon neutrality.Bismuth oxyhalides(BiOX,where X=Cl,Br,and I)are appropriate photocatalysts for this purpose due to the merits of visible-light-active,efficient charge separation,and easy-to-modify crystal structure and surface properties.For practical applications,multiple strategies have been proposed to develop high-efficiency BiOX-based photocatalysts.This review summarizes the development of different approaches to prepare BiOX-based photocatalysts for efficient CO_(2)reduction.In the review,the fundamentals of photocatalytic CO_(2)reduction are introduced.Then,several widely used modification methods for BiOX photocatalysts are systematacially discussed,including heterojunction construction,introducing oxygen vacancies(OVs),Bi-enrichment,heteroatom-doping,and morphology design.Finally,the challenges and prospects in the design of future BiOX-based photocatalysis for efficient CO_(2)reduction are examined.